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GCF of 984/23, 610/622

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 984/23, 610/622 i.e 2/14306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 984/23, 610/622.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 984/23,610/622?

Given fractions are 984/23,610/622

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 984/23,610/622, numerators are 984,610

Denominators are 23,622

The GCF of 984,610 is 2 .

LCM of 23,622 is 14306.

The greatest common factor of 984/23,610/622 = [GCF of 984,610]/[LCM of 23,622]= 2/14306

Therefore, the GCF of 984/23,610/622 is 2/14306.

Greatest Common Factor of 984,610

To find the highest common factor of 984,610, we have to find the factors of both numbers and list the highest common factor.

The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The HCF of 984,610 is 2.

Lets's calculate GCF of 984,610

Greatest Common Factor (GCF) of 984,610 By Common Division

2 984, 610
492, 305

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 984,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,610 By Matching Biggest Common Factor Method

Now, list down the factors of 984

:

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Now, list down the factors of 610

:

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 984,610 . The biggest common factor number is the GCF number.
So the greatest common factor 984,610 is 2.

Lets's calculate LCM of 23,622

Lowest Common Multiple of 23,622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14306

Therefore, the GCF of Fractions 984/23,610/622 is 2/14306

Least Common Multiple of 23,622 with GCF Formula

Least Common Multiple of 23,622 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,622) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,622) x common factors =1 x 1 = 1

LCM(23,622) = ( 23 × 622 ) / 1

LCM(23,622) = 14306 / 1

LCM(23,622) = 14306


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FAQs on GCF of Fractions of 984/23, 610/622

1. What is the HCF of 984,610?

The HCF of 984,610 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 984/23, 610/622?

Answer: GCF of Numerators as per given numbers 984/23, 610/622 is

GCF of Numerators i.e. for 984,610 is 2

LCM of denominators i.e. for 23,622 is 14306.

Thus, GCF of Fractions is 2/14306.Finally, GCF of Fractions for 984/23, 610/622 is 2/14306.